Answer: C.
f(t) = P(1.02)4t
Step-by-step explanation:
f(t) = P(1.02)4t will have the greatest compound interest because the interest is on quarterly bases with an increment of 1.02 and the rate of 8%
Note : 8/100 × 1/4 = 0.02
There is no increment in D and A is yearly based. Option C is for 6 month.
So, if the legs are a and b and the hypothuse is c then
a²+b²=c²
the distance bewteen the points is the hyptohuse
the legs are the distances between th x and y values
so
(7,11) and (-1,5)
distances between the x values are 1 leg
that is from 7 and -1, a distance of 8 units
distances betweeen the y values are the other leg
that is from 11 to 5
that is 6 units
a²+b²=c²
8²+6²=c²
64+36=c²
100=c²
sqrt both sides
10=c
the distance between them is 10 units
Given:
Let the cost of chocolate bar be 'x'.
Cost of chocolate bar is $0.55
Let y= years ago when dad's age was 4 times son's age
60-y=4(30-y)
60-y=120-4y
-y+4y=120-60
3y=60
y=60/3
y= 20 years ago
Then 30-20= 10 yrs. old, the boys age when his dad was 40 years old.
Answer:
A value of 3.38 inches is two standard deviations above the mean
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What value is two standard deviations above the mean?
This is X when Z = 2. So
A value of 3.38 inches is two standard deviations above the mean